Mathematics

Matrix Mathematics

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This second edition of Matrix Mathematics represents a major expansion of the original work. While the total number of pages is increased 46% from 752 to 1100, the increase is actually greater since this edition is typeset in a smaller font to facilitate a manageable physical size.
The second edition expands on the first edition in several ways. For example, the new version includes material on graphs (developed within the framework of relations and partially ordered sets), as well as alternative partial orderings of matrices, such as rank subtractivity, star, and generalized L ̈owner. This edition also includes additional material on the Kronecker canonical form and matrix pencils; realizations of finite groups; zeros of multi-input, multi-output transfer functions; identities and inequalities for real and complex numbers; bounds on the roots of polynomials; convex functions; and vector and matrix norms.
The additional material as well as works published subsequent to the first edition increased the number of cited works from 820 to 1503, an increase of 83%. To increase the utility of the bibliography, this edition uses the “back reference” feature of LATEX, which indicates where each reference is cited in the text. As in the first edition, the second edition includes an author index. The expansion of the first edition resulted in an increase in the size of the index from 108 pages to 156 pages.
The first edition included 57 problems, while the current edition has 73. These problems represent various extensions or generalizations of known results, some- times motivated by gaps in the literature.
In this edition, I have attempted to correct all errors that appeared in the first edition. As with the first edition, readers are encouraged to contact me about errors or omissions in the current edition, which I will periodically update on my home page.

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English

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978-0-691-14039-1

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NONE

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Edition

Second Edition

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